Question

State the coordinates of the midpoint M of the segment connecting the points (7, -6) and (4, 10).

Answer 1

The midpoint M of the segment connecting the points (7, -6) and (4, 10) is found using the midpoint formula, resulting in the coordinates (5.5, 2).

Step-by-step explanation:

To find the coordinates of the midpoint M of the segment connecting the points (7, -6) and (4, 10), you can use the midpoint formula which is given by:

M = ((x1 + x2)/2, (y1 + y2)/2).

For the given points (7, -6) and (4, 10):

• x1 = 7 and x2 = 4
• y1 = -6 and y2 = 10

Now, you substitute the values into the midpoint formula:

M = ((7 + 4)/2, (-6 + 10)/2)

M = (11/2, 4/2)

M = (5.5, 2)

Therefore, the coordinates of the midpoint M are (5.5, 2).